2071784064 has 384 divisors, whose sum is σ = 6931169280. Its totient is φ = 536279040.

The previous prime is 2071784051. The next prime is 2071784069. The reversal of 2071784064 is 4604871702.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2071784069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44080489 + ... + 44080535.

It is an arithmetic number, because the mean of its divisors is an integer number (18049920).

Almost surely, 2^2071784064 is an apocalyptic number.

2071784064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2071784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465584640).

2071784064 is an abundant number, since it is smaller than the sum of its proper divisors (4859385216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2071784064 is a wasteful number, since it uses less digits than its factorization.

2071784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 2071784064 is about 45516.8547243766. The cubic root of 2071784064 is about 1274.8179289417.

The spelling of 2071784064 in words is "two billion, seventy-one million, seven hundred eighty-four thousand, sixty-four".